Search a number
-
+
3330011320 = 2353126310211
BaseRepresentation
bin1100011001111011…
…1111000010111000
322121002000002202121
43012132333002320
523304440330240
61310233411024
7145343425546
oct30636770270
98532002677
103330011320
111459782879
1278b269a74
13410b8c4cc
1423838cd96
1514753004a
hexc67bf0b8

3330011320 has 64 divisors (see below), whose sum is σ = 7764387840. Its totient is φ = 1284009600.

The previous prime is 3330011263. The next prime is 3330011339. The reversal of 3330011320 is 231100333.

It is a super-2 number, since 2×33300113202 = 22177950782656284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330011294 and 3330011303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321015 + ... + 331225.

It is an arithmetic number, because the mean of its divisors is an integer number (121318560).

Almost surely, 23330011320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882193920).

3330011320 is an abundant number, since it is smaller than the sum of its proper divisors (4434376520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3330011320 is a wasteful number, since it uses less digits than its factorization.

3330011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 3330011320 is about 57706.2502680602. The cubic root of 3330011320 is about 1493.3051743645.

Adding to 3330011320 its reverse (231100333), we get a palindrome (3561111653).

The spelling of 3330011320 in words is "three billion, three hundred thirty million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 263 310 526 620 1052 1240 1315 2104 2630 5260 8153 10211 10520 16306 20422 32612 40765 40844 51055 65224 81530 81688 102110 163060 204220 316541 326120 408440 633082 1266164 1582705 2532328 2685493 3165410 5370986 6330820 10741972 12661640 13427465 21483944 26854930 53709860 83250283 107419720 166500566 333001132 416251415 666002264 832502830 1665005660 3330011320